Answer:
Option C : P = $1040
Step-by-step explanation:
Using formula for continuous compounding, we have;
FV = Pe^(rt)
Where;
FV is the future value
P is the starting principal
r is the interest rate
t is time period
Now, from the question;
After 9 years, value is 1,866.79
Hence;
Pe^(9r) = 1,866.79 - - - eq1
Also, after 18 years;
Pe^(18r) = $3,350.87
Now, from exponential functions,
e^(4) can be written as (e^(2))²
Thus,in our case, e^(18r) can simply be written as (e^(9r))²
Thus, we can write Pe^(18r) = $3,350.87 as;
P(e^(9r))² = 3,350.87 - - - eq3
Thus, dividing eq 1 by eq 3 gives;
P(e^(9r))²/Pe^(9r) = 3350.87/1866.79
e^(9r) = 1.794990331
So;
In 1.794990331 = 9r
r = 0.585/9
r = 0.065
Putting this for r in equation 1 gives;
Pe^(9 × 0.065) = 1,866.79
1.795P = 1,866.79
P = 1866.79/1.795
P = $1040
The quotient of 45 and 4 2/5? What is the expression for that ?
Answer:
Expression: [tex]45[/tex] ÷ [tex]4\frac{2}{5}[/tex]
Answer: 45 ÷ [tex]4\frac{2}{5}[/tex] = [tex]\frac{225}{22}[/tex]
A couple wants to install hardwood into their bedroom. The wood is bought in 0.5 x 5 square foot pieces. They have 422
square feet of floor on which to install the hardwood. How many 0.5 x 5 sections must be purchased?
Answer:
did u ever find an answer
Answer:
d: 169
Step-by-step explanation:
Graph the parabola y=-3x^2+24x-42
If you divide 3/4 by 4/7 what is the answer in fraction form?
solve for v
pleaseee answer and explain <333
Hi there! :)
Answer:
[tex]\huge\boxed{v = -27}[/tex]
[tex]\frac{v-3}{4} = \frac{9+2v}{6}[/tex]
Cross multiply:
[tex]6 ( v - 3) = 4 ( 9 + 2v)[/tex]
Distribute:
[tex]6v - 18 = 36 + 8v[/tex]
Isolate the "v" variable:
[tex]6v - 18 + 18 = 36 + 18 + 8v[/tex]
[tex]6v = 54+ 8v[/tex]
[tex]6v - 8v = 54+ 8v - 8v[/tex]
[tex]-2v = 54\\\\v = -27[/tex]
18.2x^3 + 4x^2 + 2x
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
B. This polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
C. This polynomial could be factored only by using the perfect squares method.
D. This polynomial could be factored by using grouping or the perfect squares methods.
E. This polynomial could be factored only by using the difference of squares method.
F. This polynomial cannot be factored by any of the methods used in this lesson.
Answer:
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
Step-by-step explanation:
2x^3 + 4x^2 + 2x
First factor out the GCF
2x ( x^2 + 2x +1)
Then factor the inside by either using grouping or recognizing that this is a perfect square a^2 + 2ab + b^2 = ( a+b) ^2
2x ( x^2 + 2 * x * 1 + 1^2)
2x ( x+1) ^2
Answer:
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
Step-by-step explanation:
2x^3+4x^2+2x
factor common term 2x
= 2x (x² + 2x + 1)
then factor x² + 2x + 1 to (x + 1)(x + 1)
= 2x (x + 1)(x + 1)
refining the equation
= 2x (x + 1)²
A plant is already 15 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M. Then graph your equation using the axes
Answer:
H = 15 + M
Step-by-step explanation:
The plant starts out at 15 cm tall, therefore the y intercept is (0,15) and there is an x intercept but it isn't valid in this case as a plant cannot grow backwards (I assume). The domain would be (0,infinity) and the range would be (15,infinity).
Which data set could be represented by the box plot shown below?
Answer/Step-by-step explanation:
The answer choices to this question showing possible set of data that could be represented by the box plot is missing.
However, here's how to find out which data set could be represented by the box plot.
The box plot given displays of a five-number summary consisting of,
1. The minimum value = 24
2. The second quartile = 27
3. The median value = 31
4. The third quartile = 33
5. The maximum value = 34
With these values known, you can easily find out which data set the box plot represents. Thus, the data set that has a min value of 24, max value of 34, and a median of 31 should be the data set that the box plot is representing. If you have more than one options having these same three values, then proceed to find the second and third quarter to determine which one is the most appropriate.
Answer:
the answer is b just b UwU
Step-by-step explanation:
A machine cuts 1 & 1/3 Foot long strips of wire. If an 18ft long wire is put into the machine. How many pieces can be cut from the big wire
Answer:
17 and 5
Step-by-step explanation:
Simplify 2x^2(-3x^2)^3
Answer:
[tex]-54x^8[/tex]
Step-by-step explanation:
[tex]2x^{2}(-3x^2)^3\\\\2x^2((-3)^3(x^{2*3}))\\\\2x^2(-27x^6)\\\\2(-27)(x^{2+6})\\\\-54x^8[/tex]
Answer:
[tex]-54x^{8}[/tex]
Step-by-step explanation:
[tex]2x^{2} (-3x^{2} )^{3}[/tex]
We first carry through the cube.
[tex]-3^{3} x^{2*3}[/tex]
[tex]-3^{3}[/tex] = -27 [tex]x^{2*3} = x^{6}[/tex]
Now we have [tex]2x^{2} (-27x^{6} )[/tex]
2 * - 27 = -54
[tex]x^{2} *x^{6} = x^{8}[/tex]
[tex]-54x^{8}[/tex]
Simplify. Please Someone answer ASAP!!
7
х
3
х
Answer:
[tex]x^{4}[/tex]
Step-by-step explanation:
In a right triangle, the side opposite angle has length 4.84 meters and the hypotenuse has length 7.01 meters. What is the sine of the angle?
Answer:
0.69
Step-by-step explanation:
Let θ be the angle.
The following data were obtained from the question:
Opposite = 4.84 m
Hypothenus = 7.01 m
Sine θ =?
The sine of the angle θ can be obtained as follow:
Sine θ = Opposite /Hypothenus
Sine θ = 4.84/7.01
Sine θ = 0.69
Therefore, the sine of the angle is 0.69
which term best describes a proof in wich you assume the opposite of what you want to prove
Answer:
It's called the reasoning by the absurd.
Solve the equation below and find the variation constant, k .Find y when x = 7 and z=5, if y varies jointly as x and 2, and y= 14 and x = 4 when z= 3
Variation Constant: k = 7/6
y = 245/6 when x = 7 and z = 5
====================================
Explanation:
"y varies jointly as x and z" means that y = kxz
We have (x,y,z) = (4,14,3) as one triple, so,
y = kxz
14 = k*4*3
14 = 12k
12k = 14
k = 14/12
k = 7/6 is the variation constant
The equation goes from y = kxz to y = (7/6)xz
----------------
Plug in x = 7 and z = 5 to find y
y = (7/6)xz
y = (7/6)*7*5
y = (7/6)*(7/1)*(5/1)
y = (7*7*5)/(6*1*1)
y = 245/6
FIND THE VALUE OF X2 FOR 20 DEGREES OF FREEDOM AND AN AREA OF .010 IN THE RIGHT TAIL OF THE CHI SQUARE
Answer:
The critical value of chi-square for 20 degrees of freedom and 0.01 level of significance is 37.57.
Step-by-step explanation:
We have to find the value of chi-square for 20 degrees of freedom an area of 0.01 in the right tail of the chi-square.
As we know that in the chi-square table; there is one vertical column represented by 'P' (the level of significance and one horizontal column represented by '[tex]\nu[/tex]' which is degrees of freedom.
Here, the degrees of freedom given to us is 20.
and the level of significance is 0.01 or 1% for the right tail of chi-square.
By looking at the chi-square table, the critical value of chi-square for 20 degrees of freedom and 0.01 level of significance is 37.57.
What are ALL the factors of 15
A dot-com company’s CEO is worried that the employees feel over-worked. She waits till 7 p.m. one night and proceeds to briefly interview each employee still there to see whether they feel she is overworking them. What problems are there with this approach?
Answer:
Time wastage and not formal enough
Step-by-step explanation:
He didn't have to wait till that time to ask the the question, besides keeping them there will cause uneasiness between the workers because it's already late.
Another point is that some people might not decided to give him the reply face to face, as they night sound rude or something more than that.
A more formal approach and less time consuming and less stressful method like may be filling of forms, papers , or complaint letters should be used instead.
Solve for x -12=12x+36
Answer:
Step-by-step explanation:
12x-x=-36-12
----->11x=-48
------>x=-48/11
Answer:
x=4.37 This very easy and good question
16) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) = 10x + 11, where x is the number of days since the start of the job. Find the expenditure if the job takes 5 days. A) $61 B) $6100 C) $180 D) $18,000
Answer:
$61
Step-by-step explanation:
Given
Number of days, x = 5
Expenditure per day, E'(x) = 10x + 11
Required
Determine the expenditure per day (E'(x))
From the question, we have that
[tex]E'(x) = 10x + 11[/tex]
Substitute 5 for x
[tex]E'(5) = 10 * 5 + 11[/tex]
[tex]E'(5) = 50 + 11[/tex]
[tex]E'(5) = 61[/tex]
Hence, the expenditure for 5 days is $61
The cost of completing the job in 5 days will be 61 hundred dollars.
Given information:
A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by [tex]E'(x) = 10x + 11[/tex], where x is the number of days since the start of the job.
Now, the job is done for 5 days.
So, the expenditure if the job takes 5 days can be calculated as,
[tex]E'(x) = 10x + 11\\E'(5) = 10\times 5 + 11\\E'(5)=50+11\\E'(5)=61[/tex]
Therefore, the cost of completing the job in 5 days will be 61 hundred dollars.
For more details, refer to the link:
https://brainly.com/question/20262555
Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed amount monthly plus a charge for each cubic foot of water used. A household using 1500 cubic feet was billed $80, while one using 2100 cubic feet was billed $92. Write an equation for the total cost of a resident's water as a function of cubic feet of water used.
Answer:
A = 50 + 0.02x
Step-by-step explanation:
Let the fixed amount be m
Let the charge for each cubic ft used be c
Let the amount of cubic ft of water used be x.
Let the total cost per month be A
Now, for the first household, they used 1500 cubic feet in a month and were billed $80.
This means, x = 1500 ft³ and A = $80
Since, we are told they are charged a fixed amount plus a fee per cubic ft consumed. We can say that;
m + cx = A
Thus,
m + 1500c = 80 - - - - (eq1)
For 2nd household:
They used 2100 cubic feet was billed $92.
Thus;
m + 2100c = 92 - - - - (eq 2)
Let's subtract eq1 from eq 2 to get;
2100c - 1500c = 92 - 80
600c = 12
c = 12/600
c = 0.02
Putting 0.02 for C in eq1 gives;
m + 1500(0.02) = 80
m + 30 = 80
m = 80 - 30
m = 50
From m + cx = A, we can say that;
50 + 0.02x = A
3. MP Be Precise How can you use a unit rate to determine if a relationship is proportional?
Answer:
If all the ratios are equal, then the relationship is proportional. If all the ratios are not equal, then the relationship is not proportional.
I hope this helps
Step-by-step explanation:
Emil worked for 9 hours and 30 minutes. How should he write that on his time
card?
A. 9.3
B. 9.75
C. 9.5
D. 9.25
Answer:
c is write answer.......
ASAP What is the volume of a sphere, to the nearest cubic inch, if the radius equals 3 inches? Use π = 3.14. A. 101 in³ B. 210 in³ C. not given D. 96 in³
Answer: C. not given
Step-by-step explanation:
formula for volume of sphere: V=(4/3)πr³
V=(4/3)πr³
V=(4/3)(3.14)(3)³
V=(4/3)(3.14)(27)
V=113 in³
Answer:
C. Not given
V≈ 113 in³
Step-by-step explanation:
The volume of a sphere can be found using the following formula.
[tex]V= \frac{4}{3} \pi r^3[/tex]
We know the radius is 3 inches and we are using 3.14 for pi. Therefore, we can substitute [tex]3 in[/tex] in for [tex]r[/tex] and [tex]3.14[/tex] in for [tex]\pi[/tex]
[tex]V= \frac{4}{3} *3.14* (3 in)^3[/tex]
Evaluate the exponent first.
(3 in)³= 3 in * 3 in * 3 in = 9 in² * 3 in = 27 in³
[tex]V= \frac{4}{3} *3.14* 27 in^3[/tex]
Multiply 3.14 and 27 in³
[tex]V= \frac{4}{3} * 84.78 in^3[/tex]
Multiply 4/3 and 84.78 in³
[tex]V= 113.04 in^3[/tex]
Round to the nearest cubic inch. The 0 in the tenth place tells us to leave the 113 as is.
[tex]V= \approx 113 in^3[/tex]
Since 113 cubic inches is not an answer choice given, the correct answer is C. not given
17 = 4(s-14) - -5 Solve for s S= ?
Answer:
s = 17
Step-by-step explanation:
17 = 4(s - 14) - (-5)
distribute the 4
17 = 4s - 56 - (-5)
combine like terms
17 = 4s - 56 + 5
17 = 4s - 51
add 51 to both sides
68 = 4s
divide by 4
68/4 = 17
s = 17
Rewrite 9+7=16 using the commutative law of addition
Answer:
7 + 9 = 16
Step-by-step explanation:
The commutative law states that a + b = b + a and ab = ba.
This means that 9 + 7 = 7 + 9.
Therefore, we can rewrite the equation as 7 + 9 = 16.
Question 4
Select all of the set to which the number belongs.
0
Natura Numharc
Answer:
0 is a:
Rational Number
Integer
Whole Number
Step-by-step explanation:
Answer:
0 is a:
Rational Number
Integer
Whole Number
Step-by-step explanation:
The sum of 11 times 4x squared and 5x
Answer:
49x
Step-by-step explanation:
5x+(11*4x)
5x+44x
49x
The given statement "The sum of 11 times 4x squared and 5x" can be written in the form of an expression as 44x² + 5x.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "The sum of 11 times 4x squared and 5x" can be written in the form of an expression as shown below.
11 times 4x squared → 11 × 4x² = 44x²Sum of 11 times 4x squared and 5x → 44x² + 5xHence, The given statement "The sum of 11 times 4x squared and 5x" can be written in the form of an expression as 44x² + 5x.
Learn more about Expression here:
https://brainly.com/question/13947055
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Find the relative extrema of the function, if they exist. Also, state the intervals where the function is increasing or decreasing. g
Answer:
The question is not complete. I will explain relative extrema and how to calculate it.
Step-by-step explanation:
The singular of extrema is extremum and it is simply used to describe a value that is a minimum or a maximum of all function values.
A function will have relative extrema (relative maximum or relative minimum) at points in which it changes from decreasing to increasing, or vice versa.
So if f(y) is a function of y
Function f(d) will be is a relative maximum of f(y),if there exists an interval (a, b) containing d
such that for all y in (a, b) , f(y) ≤ f(d)
Function f(d) will also be a relative minimum of f(y),if there exists an interval (a, b) containing d
such that for all y in (a, b) , f(y) ≥ f(d)
Kindly note that If f(d) is a relative extrema of f(y), then the relative extrema occurs at y = d.
For the local extrema of a critical point to be determined, the function must go from increasing, that means positive [tex]f^{'}[/tex], to decreasing, that means negative [tex]f^{'}[/tex], or vice versa, around that point.
[tex]f^{'}[/tex] is determined by finding the first derivative of the function f(y). The relative extrema will therefore allows us to check for any sign changes of f′ around the function's critical points.
Which figure represents an undefined term?
Answer:
The last figure, line XY.
Step-by-step explanation:
The 4th figure represents a line.
A line is an undefined term in Geometry.
What is the answer to this?
Multiply
1/4 x -2=
Answer:
-0.5
Step-by-step explanation:
Answer:
−8x+1 / 4x
Step-by-step explanation: